High-order unstructured spectral finite volume method for aerodynamic applications.

AUTOR(ES)
FONTE

IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia

DATA DE PUBLICAÇÃO

20/12/2010

RESUMO

An implicit finite volume algorithm is developed for higher-order unstructured computation of inviscid compressible flows. The Spectral Finite Volume method is used to achieve high-order spatial discretization of the domain, coupled with a matrix-free LU-SGS algorithm to solve the linear systems arising from implicit time marching of the governing equations, avoiding the explicit storage of the flux Jacobian matrices. A new limiter formulation for the high-order terms of the reconstruction polynomial is introduced. The issue of mesh refinement in accuracy measurements for unstructured meshes is investigated. A straightforward methodology is applied for accuracy assessment of the higher-order unstructured approach based on entropy levels and direct solution error calculation. The accuracy, fast convergence and robustness of the proposed higher-order unstructured solver for different speed regimes are demonstrated via several known test cases from the literature for the 2nd-, 3rd- and 4th-order discretizations. The possibility of reducing the computational cost required for a given level of accuracy using high-order discretization is demonstrated. The main features of the present methodology include the reconstruction algorithm that yields 2nd-, 3rd- and 4th-order spatially accurate schemes, an implicit time march algorithm, high-order domain boundaries representation and a hierarchical moment limiter to treat flow solution discontinuities.

ASSUNTO(S)

dinâmica dos fluidos computacional grades computacionais método de volume finito métodos matemáticos discretização (matemática) escoamento compressível algoritmos aerodinâmica utilização física matemática computacional matemática

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